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Finding the Fourth Proportional to 659.46, 910.08 and 493.38

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Solution

The fourth proportional to 659.46, 910.08 and 493.38 is: 680.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.46 : 910.08 = 493.38 : x
  2. Step 2: Convert to fraction form
    659.46/910.08 = 493.38/x
  3. Step 3: Cross multiply
    659.46x = 910.08 × 493.38
  4. Step 4: Simplify right side
    659.46x = 449,015.27
  5. Step 5: Solve for x
    x = 449,015.27/659.46
  6. Step 6: Final answer
    x = 680.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.